Bézout domain

noun

An integral domain in which the sum of two principal ideals is also a principal ideal.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounBézout domain (plural Bézout domains)

plural Bézout domains

  1. ring theoryalgebraAn integral domain in which the sum of two principal ideals is also a principal ideal.

Origin

So-called because such domains satisfy Bézout's identity, in turn named after Étienne Bézout.

Full word history & related roots →
Cite this entry
APA

Bézout domain. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/B%C3%A9zout%20domain

MLA

“Bézout domain.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/B%C3%A9zout%20domain. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Bézout domain,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/B%C3%A9zout%20domain.

Source: Bézout domain on Wiktionary, CC BY-SA 4.0.